The change from 3/4 to 4/10 is found by obtaining and applying the LCD:
15/20 to 8/20 is a negative change, and the amount of the change was -7/20.
We compare this result to the original value, 15/20, to obtain the percentage change in the fraction:
-7/20
----------- = -7/15 = -0.467 => -46.7%
15/20
Answer:
B
Step-by-step explanation:
Find all probabilities:
A. False
![Pr(\text{red shirt}|\text{large shirt})=\dfrac{\text{number red large shirts}}{\text{number large shirts}}=\dfrac{42}{77}=\dfrac{6}{11}\\ \\Pr(\text{large shirt})=\dfrac{\text{number large shirts}}{\text{number shirts}}=\dfrac{77}{165}=\dfrac{7}{15}](https://tex.z-dn.net/?f=Pr%28%5Ctext%7Bred%20shirt%7D%7C%5Ctext%7Blarge%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20red%20large%20shirts%7D%7D%7B%5Ctext%7Bnumber%20large%20shirts%7D%7D%3D%5Cdfrac%7B42%7D%7B77%7D%3D%5Cdfrac%7B6%7D%7B11%7D%5C%5C%20%5C%5CPr%28%5Ctext%7Blarge%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20large%20shirts%7D%7D%7B%5Ctext%7Bnumber%20shirts%7D%7D%3D%5Cdfrac%7B77%7D%7B165%7D%3D%5Cdfrac%7B7%7D%7B15%7D)
B. True
![Pr(\text{blue shirt}|\text{large shirt})=\dfrac{\text{number blue large shirts}}{\text{number large shirts}}=\dfrac{35}{77}=\dfrac{5}{11}\\ \\Pr(\text{blue shirt})=\dfrac{\text{number blue shirts}}{\text{number shirts}}=\dfrac{75}{165}=\dfrac{5}{11}](https://tex.z-dn.net/?f=Pr%28%5Ctext%7Bblue%20shirt%7D%7C%5Ctext%7Blarge%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20blue%20large%20shirts%7D%7D%7B%5Ctext%7Bnumber%20large%20shirts%7D%7D%3D%5Cdfrac%7B35%7D%7B77%7D%3D%5Cdfrac%7B5%7D%7B11%7D%5C%5C%20%5C%5CPr%28%5Ctext%7Bblue%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20blue%20shirts%7D%7D%7B%5Ctext%7Bnumber%20shirts%7D%7D%3D%5Cdfrac%7B75%7D%7B165%7D%3D%5Cdfrac%7B5%7D%7B11%7D)
C. False
![Pr(\text{shirt is medium and blue})=\dfrac{\text{number medium and blue shirts}}{\text{number shirts}}=\dfrac{48}{165}=\dfrac{16}{55}\\ \\Pr(\text{medium shirt})=\dfrac{\text{number medium shirts}}{\text{number shirts}}=\dfrac{88}{165}=\dfrac{8}{15}](https://tex.z-dn.net/?f=Pr%28%5Ctext%7Bshirt%20is%20medium%20and%20blue%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20medium%20and%20blue%20shirts%7D%7D%7B%5Ctext%7Bnumber%20shirts%7D%7D%3D%5Cdfrac%7B48%7D%7B165%7D%3D%5Cdfrac%7B16%7D%7B55%7D%5C%5C%20%5C%5CPr%28%5Ctext%7Bmedium%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20medium%20shirts%7D%7D%7B%5Ctext%7Bnumber%20shirts%7D%7D%3D%5Cdfrac%7B88%7D%7B165%7D%3D%5Cdfrac%7B8%7D%7B15%7D)
D. False
![Pr(\text{large shirt}|\text{red shirt})=\dfrac{\text{number red large shirts}}{\text{number red shirts}}=\dfrac{42}{90}=\dfrac{7}{15}\\ \\Pr(\text{red shirt})=\dfrac{\text{number red shirts}}{\text{number shirts}}=\dfrac{90}{165}=\dfrac{6}{11}](https://tex.z-dn.net/?f=Pr%28%5Ctext%7Blarge%20shirt%7D%7C%5Ctext%7Bred%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20red%20large%20shirts%7D%7D%7B%5Ctext%7Bnumber%20red%20shirts%7D%7D%3D%5Cdfrac%7B42%7D%7B90%7D%3D%5Cdfrac%7B7%7D%7B15%7D%5C%5C%20%5C%5CPr%28%5Ctext%7Bred%20shirt%7D%29%3D%5Cdfrac%7B%5Ctext%7Bnumber%20red%20shirts%7D%7D%7B%5Ctext%7Bnumber%20shirts%7D%7D%3D%5Cdfrac%7B90%7D%7B165%7D%3D%5Cdfrac%7B6%7D%7B11%7D)
Answer:
The answer is 3.5 mph
Step-by-step explanation:
30 x 2 = 60 minutes = 1 hour
1.75 x 2 = 3.5 miles
So 3.5 miles in 1 hour
3.5 mph
Answer:
The function moves 7 to the left and 5 units up
Step-by-step explanation:
y = (x + 7) + 5
I think that's the problem you put.
Y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)
x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)
Therefore, m/_x = 48 degrees.